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Finding the Fourth Proportional to 41,317, 57,017.28 and 23,415.41

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Solution

The fourth proportional to 41,317, 57,017.28 and 23,415.41 is: 32,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,317 : 57,017.28 = 23,415.41 : x
  2. Step 2: Convert to fraction form
    41,317/57,017.28 = 23,415.41/x
  3. Step 3: Cross multiply
    41,317x = 57,017.28 × 23,415.41
  4. Step 4: Simplify right side
    41,317x = 1,335,082,988.28
  5. Step 5: Solve for x
    x = 1,335,082,988.28/41,317
  6. Step 6: Final answer
    x = 32,313.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.